What type of decimal expansion is 0.9999...? | vedclass

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Question

(B) The decimal expansion $0.9999...$ can be written as $0.\bar{9}$.
Since the digit $9$ repeats infinitely,it is a non-terminating repeating decimal

Vedclass · Accepted Answer

Non-terminating repeating

Vedclass · Answer

(B) The decimal expansion $0.9999...$ can be written as $0.\bar{9}$.
Since the digit $9$ repeats infinitely,it is a non-terminating repeating decimal expansion.
Furthermore,mathematically,$0.9999... = 1$,which is a rational number,and all rational numbers have either terminating or non-terminating repeating decimal expansions.

What type of decimal expansion is $0.9999...$? (Terminating,Non-terminating repeating,Non-terminating non-repeating)

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